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Geometry proofs test

This geometry proofs test helps 10th grade students practice constructing and analyzing proofs related to congruence and similarity, focusing on postulates and properties. Questions include identifying valid reasons for congruence and similarity, as well as understanding key properties like the reflexive property.

By Edform · Mathematics · Grade 10 · Published Oct 15, 2026 · New

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Questions

  1. Which postulate can be used to prove that two triangles are congruent if two sides and the included angle are congruent?
  2. Which of the following are valid reasons for proving two triangles are similar?
  3. If two triangles have all three pairs of corresponding sides congruent, the triangles are congruent.
  4. What is the name of the property that states if segment AB is congruent to segment CD, then segment CD is congruent to segment AB?
  5. Which of the following statements is true about vertical angles?
  6. Which of the following statements are always true about parallelograms?
  7. If two triangles are similar, then their corresponding angles are congruent.
  8. What is the missing reason in this proof? If angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C by the ____ property.
  9. If triangle ABC is similar to triangle DEF and the sides of triangle ABC are 3, 4, and 5, while the shortest side of triangle DEF is 6, what is the scale factor from ABC to DEF?
  10. Which property justifies the statement: If AB = CD and CD = EF, then AB = EF?

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